Weighted estimates for commutators of singular integral operators with non-doubling measures

Let μ be a nonnegative Radon measure on ℝd which only satisfies μ(B(x, r)) ⩽ C0rn for all x ∈ ℝd, r > 0, and some fixed constants C0 > 0 and n ∈ (0, d]. In this paper, some weighted weak type estimates with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$A_{p, (\log L)^\sigma }^\rho $$ \end{document} (μ) weights are established for the commutators generated by Calderón-Zygmund singular integral operators with RBMO(μ) functions.